What is the integral from-2 to 2 of (10x^9+25x^{21}) ?

The integral from-2 to 2 of (10x^9+25x^{21}) is 0

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integral from-2 to 2 of (10x^9+25x^{21})

\int_{- 2}^{2} (10 x^{9} + 25 x^{21}) d x

0

Solution steps

\int_{- 2}^{2} 10 x^{9} + 25 x^{21} d x

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

10 x^{9} + 25 x^{21} :

Odd

= 0

\int_{0}^{4} 25 - x^{2} d x

\int_{- 1}^{2} 3 d x

\int_{0}^{x} e^{2 t} d t

\int_{- 3}^{3} - \frac{5}{x ^{3}} d x

\int_{- 1}^{0} \frac{1}{1 - x} d x

What is the integral from-2 to 2 of (10x^9+25x^{21}) ?
The integral from-2 to 2 of (10x^9+25x^{21}) is 0